On linear systems with multiple points on a rational normal curve

Autor:	Antonio Laface, Elisa Postinghel, Luis José Santana Sánchez
Rok vydání:	2023
Předmět:	Mathematics - Algebraic Geometry Numerical Analysis Mathematics::Algebraic Geometry Algebra and Number Theory FOS: Mathematics Discrete Mathematics and Combinatorics 14C20 14J70 14J17 Geometry and Topology Algebraic Geometry (math.AG)
Zdroj:	Linear Algebra and its Applications. 657:197-240
ISSN:	0024-3795
DOI:	10.1016/j.laa.2022.10.023
Popis:	We give a closed formula for the dimension of all linear systems in $\mathbb{P}^n$ with assigned multiplicity at arbitrary collections of points lying on a rational normal curve of degree $n$. In particular we give a purely geometric explanation of the speciality of these linear systems, which is due to the presence of certain subvarieties in the base locus: linear spans of points, secant varieties of the rational normal curve or joins between them. Comment: 35 pages
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c0e67dcf106e25e79b4a6ae0a5fb9b6c https://doi.org/10.1016/j.laa.2022.10.023 Zobrazit plný text záznamu Full Text from ScienceDirect